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Finding the Third Proportional to 611,824 and 1,312,193

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Solution

The third proportional to 611,824 and 1,312,193 is: 2,814,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,824 : 1,312,193 = 1,312,193 : x
  2. Step 2: Convert to fraction form
    611,824/1,312,193 = 1,312,193/x
  3. Step 3: Cross multiply
    611,824x = 1,312,193 × 1,312,193
  4. Step 4: Simplify right side
    611,824x = 1,721,850,469,249
  5. Step 5: Solve for x
    x = 1,721,850,469,249/611,824
  6. Step 6: Final answer
    x = 2,814,290.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.